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    "collapsed": false,
    "jupyter": {
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    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "F:\\programData\\conda\\env\\ChatGLM2-6B\\lib\\site-packages\\numpy\\_distributor_init.py:30: UserWarning: loaded more than 1 DLL from .libs:\n",
      "F:\\programData\\conda\\env\\ChatGLM2-6B\\lib\\site-packages\\numpy\\.libs\\libopenblas.FB5AE2TYXYH2IJRDKGDGQ3XBKLKTF43H.gfortran-win_amd64.dll\n",
      "F:\\programData\\conda\\env\\ChatGLM2-6B\\lib\\site-packages\\numpy\\.libs\\libopenblas64__v0.3.23-246-g3d31191b-gcc_10_3_0.dll\n",
      "  warnings.warn(\"loaded more than 1 DLL from .libs:\"\n"
     ]
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import random\n",
    "import torch\n",
    "from d2l import torch as d2l"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false,
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   "source": [
    "def synthetic_data(w,b,num_examples):\n",
    "    x = torch.normal(0,1,(num_examples,len(w)))\n",
    "    y = torch.matmul(x,w) + b\n",
    "    y += torch.normal(0,0.01,y.shape)\n",
    "    return x,y.reshape((-1,1))\n",
    "\n",
    "true_w = torch.tensor([2,-3.4])\n",
    "true_b = 4.2\n",
    "feature,labels = synthetic_data(true_w,true_b,1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
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       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 350x250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "d2l.set_figsize()\n",
    "d2l.plt.scatter(feature[:,1].detach().numpy(),labels.detach().numpy(),1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "def data_iter(batch_size,features,labels):\n",
    "    num_examples = len(features)\n",
    "    indices = list(range(num_examples))\n",
    "    random.shuffle(indices)\n",
    "    for i in range(0,num_examples,batch_size):\n",
    "        batch_indices = torch.tensor(\n",
    "            indices[i:min(i+batch_size,num_examples)])\n",
    "        yield features[batch_indices],labels[batch_indices]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor([[-0.1655,  1.1476],\n",
      "        [ 1.3150, -0.4690],\n",
      "        [ 0.9179, -0.2845],\n",
      "        [-0.7744,  0.0632],\n",
      "        [ 0.5367,  1.0881],\n",
      "        [-0.1378, -0.6417],\n",
      "        [-0.4195,  0.4178],\n",
      "        [-0.2563,  0.2104],\n",
      "        [-0.4429,  1.3571],\n",
      "        [-0.6746, -0.4775]]) \n",
      " tensor([[-0.0258],\n",
      "        [ 8.4185],\n",
      "        [ 7.0110],\n",
      "        [ 2.4422],\n",
      "        [ 1.5573],\n",
      "        [ 6.0965],\n",
      "        [ 1.9299],\n",
      "        [ 2.9744],\n",
      "        [-1.2951],\n",
      "        [ 4.4854]])\n"
     ]
    }
   ],
   "source": [
    "batch_size = 10\n",
    "for x,y in data_iter(batch_size,feature,labels):\n",
    "    print(x,'\\n',y)\n",
    "    break"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 初始化模型参数\n",
    "w = torch.normal(0,0.01,size=(2,1),requires_grad = True)\n",
    "b = torch.zeros(1,requires_grad=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 定义模型\n",
    "def linreg(x,w,b):\n",
    "    return torch.matmul(x,w) + b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 定义损失函数\n",
    "def squared_loss(y_hat,y):\n",
    "    return (y_hat - y.reshape(y_hat.shape)) ** 2 /2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 定义优化算法\n",
    "def sgd(params,lr,batch_size):\n",
    "    with torch.no_grad():\n",
    "        for param in params:\n",
    "            param -= lr * param.grad / batch_size\n",
    "            param.grad.zero_()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epch 1,loss 0.035259\n",
      "epch 2,loss 0.000124\n",
      "epch 3,loss 0.000046\n"
     ]
    }
   ],
   "source": [
    "# 训练\n",
    "lr = 0.03\n",
    "num_epochs = 3\n",
    "net = linreg\n",
    "loss = squared_loss\n",
    "for epoch in range(num_epochs):\n",
    "    for x,y in data_iter(batch_size,feature,labels):\n",
    "        l = loss(net(x,w,b),y)\n",
    "        l.sum().backward()\n",
    "        sgd([w,b],lr,batch_size)\n",
    "    with torch.no_grad():\n",
    "        train_l = loss(net(feature,w,b),labels)\n",
    "        print(f'epch {epoch + 1},loss {float(train_l.mean()):f}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "w的估计误差：tensor([0.0007, 0.0003], grad_fn=<SubBackward0>)\n",
      "b的估计误差：tensor([0.0008], grad_fn=<RsubBackward1>)\n"
     ]
    }
   ],
   "source": [
    "print(f'w的估计误差：{true_w - w.reshape(true_w.shape)}')\n",
    "print(f'b的估计误差：{true_b - b}')"
   ]
  }
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